Once he checks twice, I think you have the best hand almost always. I'm going to assume he is a loose passive player? So I would just bet larger on Turn and River. Maybe 20 on turn, then another 75% pot bet on River.

While I often advocate checking back such flops with AX, I think your hand is strong enough to value bet 2 streets or more (maybe make a small river bet after 2barreling perhaps).

That's assuming this guy is a loose passive fish, who doesn't check raise this flop with wide ranges. Against someone more aggro, then I prefer taking your line.